The Fundamental Theorem of Calculus - Full Tutorial

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This is a full tutorial on the Fundamental Theorem of Calculus and related topics. Here are the three main topics covered. Note several examples of computing definite integrals are given.

- The Fundamental Theorem of Calculus
- Computing Definite Integrals
- The Second Fundamental Theorem of Calculus
- The Mean Value Theorem

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Simply marvelous! Incredible! I really appreciate that you make these videos. I imagine in decades to come people will still be watching them for clear, practical math explanations : )

kolinbrannon

Thank you for explaining this in such a simple way. This video hit all the topics that will be on my quiz tomorrow!

emolilwasian

man your content is pure gold, thank you. for real.

soylarva

I really wish i could reach out beyond my screen and give you a handshake 👏🏼thank you

boeletsangrankadi

I've watched a ton of your videos and just now saw the Udemy links. I'm about to get my math on.

Jason-bgjc

i learned it in real analysis class. The proof is a pain yet so simple. You need to know a lot of concepts first and present them, then it becomes simple arithmetics

joachimbramson

Porque no nos dijiste que habla español y tienes un canal matemática en español.

Forgive my poor Spanish. As someone who is self learning math and Spanish, it was a pleasant surprise to find out that you also have a math channel for Spanish speaking audiences. Very curious to know how you came to speak Spanish, and if you are not a native speaker, how did you learn, and what parallels if any have you noticed between learning math and learning a spoken language?

kernel

I love this so much! Thanks for posting!

tristandiggs

You're nothing but a fucking LEGEND !

smoresdelta

That's good I still remember my calculus classes 💪🤙👌👌👏👏👏

mokamoka

If you did this for trig then I would probably watch it at least 5 times before my class starts

HPEFTHEUNIVERSE

Great video. I still have to finish your Udemy course Calculus 1:)

dannydj

Por favor haz videos de matemáticas en español!!! 😀 los vería todos

andresdavila

I believe sin(x) is an odd function and cos(x) is an even function. Right? So, if you integrate sin(x) over the interval [ -pi/2, +pi/2] you get zero.

StaticBlaster

37:55 lower limit=2, but domain of arcsin(t) is [-pi/2, pi/2]???!

微分積分入門

IT'S *SO* EASY!
Too bad that finding anti-derivatives is hard as "F"!

douglasstrother

I think you should mention that the FTC is only applicable to functions that posses an anti-derivative.
And.. unfortunately, most important functions in Physics and Engineering that are required to be integrated do not possess an anti-derivative.

For example, the normal distribution in statistics and quantum theory just to mention 2 areas of math and science.

geoffross

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I do appreciate your work.

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Now my question is on what topic to pick up so that I may continue working on the same topic in my Ph D when i get the chance to
please help me out because I have only one week to submit my topic to the department
I hope i am lucky or fortunate enough to have your help
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mohammadamanalimyzada

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